Change in phonon dispersion with pressure

In summary, pressure can cause a change in the phonon dispersion of a material, leading to an increase in energy and frequency of the phonons. This relationship is inverse, meaning as pressure increases, the phonon dispersion curve shifts upwards and becomes steeper. These changes can be observed experimentally and have practical applications in various fields.
  • #1
elysia
1
0
Hi,

I'm looking into how phonon dispersion changes with pressure analytically and need to know how the atomic spacing in copper changes with pressure in order to model the crystal. I can't find any helpful papers online :(

Any help would be appreciated

thanks

e
 
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  • #2
For phonon dispersion dependence on pressure, search for the Grueneisen parameters of copper. For lattice variation, search for Birch-Murnaghan equation of state of copper. I'm sure you will find these in literature.
 

1. How does pressure affect phonon dispersion?

Pressure can cause a change in the phonon dispersion of a material, which refers to the relationship between the energy and momentum of phonons (quantized vibrations in a material). As pressure increases, the phonon dispersion curve shifts upwards, indicating an increase in energy and frequency of the phonons. This is due to the compression of the lattice structure, which leads to a stiffer material and faster vibrations.

2. What is the relationship between phonon dispersion and pressure?

The relationship between phonon dispersion and pressure is inverse. As pressure increases, the phonon dispersion curve shifts upwards, indicating an increase in energy and frequency of the phonons. This is because pressure causes the lattice structure to compress, leading to a stiffer material and faster vibrations.

3. How does phonon dispersion change with increasing pressure?

With increasing pressure, the phonon dispersion curve shifts upwards and becomes steeper. This means that the phonons in the material have higher energy and frequency, and the lattice structure has become stiffer. This change in phonon dispersion can also affect other properties of the material, such as thermal conductivity and specific heat capacity.

4. Can changes in phonon dispersion with pressure be observed experimentally?

Yes, changes in phonon dispersion with pressure can be observed experimentally using techniques such as inelastic neutron scattering, Raman spectroscopy, and Brillouin scattering. These methods allow researchers to measure the energy and momentum of phonons and track how they change with increasing pressure.

5. What are the practical applications of studying the change in phonon dispersion with pressure?

Studying the change in phonon dispersion with pressure is important for understanding the fundamental properties of materials, such as thermal and mechanical behavior. This knowledge can be applied in various fields, such as materials science, engineering, and geology, to develop new materials with desired properties, improve the performance of existing materials, and understand the behavior of materials under extreme conditions.

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